conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Evaluate (-288)/648*1/((-4)/6)."
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "What is the v'th term of -23, 4, 27, 46, 61?"
},
{
"from": "gpt",
"value": "-2*v**2 + 33*v - 54"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -70*c**3 - 2*c**2 - c - 57 wrt c."
},
{
"from": "gpt",
"value": "-420*c - 4"
}
] |
[
{
"from": "human",
"value": "What is -5751 take away -64?"
},
{
"from": "gpt",
"value": "-5687"
}
] |
[
{
"from": "human",
"value": "What is the derivative of d*j**2 + 138*d*j - 10*d + 9*j**2 - 390 wrt d?"
},
{
"from": "gpt",
"value": "j**2 + 138*j - 10"
}
] |
[
{
"from": "human",
"value": "What is 5050 to the power of 1/9, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose -u - 3*u = c - 16, -4*u = 5*c - 32. Suppose -53 = -c*b - 21. Calculate the remainder when 23 is divided by b."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the difference between 0 and 0.2396?"
},
{
"from": "gpt",
"value": "0.2396"
}
] |
[
{
"from": "human",
"value": "Simplify -4*6*(1 + sqrt(112) - sqrt(7))."
},
{
"from": "gpt",
"value": "-72*sqrt(7) - 24"
}
] |
[
{
"from": "human",
"value": "Evaluate (4/(-10))/(33*3/45)."
},
{
"from": "gpt",
"value": "-2/11"
}
] |
[
{
"from": "human",
"value": "Divide -35622 by 5937."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "What is the tenth root of 9767 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Is 58447 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of 25, 29, 33, 37, 41, 45?"
},
{
"from": "gpt",
"value": "4*n + 21"
}
] |
[
{
"from": "human",
"value": "In base 14, what is -2a9 + 5?"
},
{
"from": "gpt",
"value": "-2a4"
}
] |
[
{
"from": "human",
"value": "Does 57 divide 2565?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve 5*h = -16*l + 19*l - 18, -l + 10 = -3*h for h."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let t = 35 + -33. Solve 5*s + t*f = -10, 2*s + 3*f - 5 = 4*f for s."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let h = -21 - -36. Let d be 6/h - 68/(-5). Let w = 46 - d. Does 16 divide w?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 2418?"
},
{
"from": "gpt",
"value": "2, 3, 13, 31"
}
] |
[
{
"from": "human",
"value": "Simplify (-2*sqrt(540))/(sqrt(1452) + -3*sqrt(1452) + sqrt(1452) + sqrt(1452) + sqrt(1452))."
},
{
"from": "gpt",
"value": "-6*sqrt(5)/11"
}
] |
[
{
"from": "human",
"value": "Divide -89 by 57."
},
{
"from": "gpt",
"value": "-89/57"
}
] |
[
{
"from": "human",
"value": "Solve -5*u - 35 = -10 for u."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let s(n) = n - 1. Let r be s(-1). Let q be ((-4)/(-2))/r - -1. Suppose q*u - 3*u + 15 = 0. What are the prime factors of u?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "-3547696 divided by 443462"
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -6, -4, 1/6, -0.1, 1/7?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let m be 3*(2 - (-417)/9). Suppose -4*x = 0, -3*x = 5*s + x + m. Let h = s + 41. What is the units digit of h?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 7683.832mm in micrometers?"
},
{
"from": "gpt",
"value": "7683832"
}
] |
[
{
"from": "human",
"value": "Let g(j) be the third derivative of j**4/24 + j**3/2 + 3*j**2. Let i be g(-7). Which is smaller: i or -0.1?"
},
{
"from": "gpt",
"value": "i"
}
] |
[
{
"from": "human",
"value": "Let -2*x**3/13 + 112*x**2/13 + 472*x/13 + 480/13 = 0. Calculate x."
},
{
"from": "gpt",
"value": "-2, 60"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of -1399, -1403, -1409, -1417, -1427, -1439?"
},
{
"from": "gpt",
"value": "-x**2 - x - 1397"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of g**5*p - 7*g**3*p - 26*g**2*p - 5*g*p + 226*g wrt g."
},
{
"from": "gpt",
"value": "20*g**3*p - 42*g*p - 52*p"
}
] |
[
{
"from": "human",
"value": "What is the value of 14 + -16 + -3 + 11?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let p be (6/4 - 1)*(-20 + 20). Factor -2/11*r**5 + 2/11*r**3 - 2/11*r**2 + 0*r + 2/11*r**4 + p."
},
{
"from": "gpt",
"value": "-2*r**2*(r - 1)**2*(r + 1)/11"
}
] |
[
{
"from": "human",
"value": "Product of 5 and -46."
},
{
"from": "gpt",
"value": "-230"
}
] |
[
{
"from": "human",
"value": "Let i(l) be the second derivative of l**8/2240 + l**6/720 - 2*l**4/3 - 2*l. Let w(a) be the third derivative of i(a). Find the second derivative of w(c) wrt c."
},
{
"from": "gpt",
"value": "18*c"
}
] |
[
{
"from": "human",
"value": "Put 4/5, 37, -35, -2, -31.7 in increasing order."
},
{
"from": "gpt",
"value": "-35, -31.7, -2, 4/5, 37"
}
] |
[
{
"from": "human",
"value": "Suppose -85*w = 85*w - 158*w. Suppose 4*n - 2*a + 9 = 1, -n - 3*a + 12 = 0. Are w and n equal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the next term in -52, -45, -40, -37, -36, -37?"
},
{
"from": "gpt",
"value": "-40"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 14*h**4*z**2 + 3*h**2*z**2 + 137*h*z**2 + h + 1 wrt h."
},
{
"from": "gpt",
"value": "168*h**2*z**2 + 6*z**2"
}
] |
[
{
"from": "human",
"value": "Let q = -2.06 - -2. Suppose 5*c - 12 = 4*j - 65, -5*c - 18 = j. Let i = j - 8. Sort i, q, -2/13 in decreasing order."
},
{
"from": "gpt",
"value": "q, -2/13, i"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -10*k**5 + 4*k**4 - 14*k**2 - 297*k + 5 wrt k."
},
{
"from": "gpt",
"value": "-200*k**3 + 48*k**2 - 28"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 3? (a) 2 (b) 0.4 (c) -78/19 (d) -0.1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Calculate ((-21)/(-9)*(-4)/(-14))/(-1)."
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.2? (a) -21 (b) -1/3 (c) -4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -l**5 + 971*l**3 - 5*l**2 - 2*l + 1 wrt l."
},
{
"from": "gpt",
"value": "5826 - 60*l**2"
}
] |
[
{
"from": "human",
"value": "What is the product of 11 and -2.7?"
},
{
"from": "gpt",
"value": "-29.7"
}
] |
[
{
"from": "human",
"value": "Let c = -18/11 - -65/33. Suppose -4*f - 5*m + 2*m = -11, 0 = -3*m + 3. Suppose -a = -f*a. Do c and a have different values?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the value of 1 + 2 + -3 - 2?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 1/3? (a) 4 (b) -936 (c) -2/3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let p(i) = i**3 + 3*i**2 - 18*i + 7. Calculate p(-5)."
},
{
"from": "gpt",
"value": "47"
}
] |
[
{
"from": "human",
"value": "0.3 * 6541"
},
{
"from": "gpt",
"value": "1962.3"
}
] |
[
{
"from": "human",
"value": "Let j(f) = 7*f**2 - f - 17. What are the prime factors of j(-8)?"
},
{
"from": "gpt",
"value": "439"
}
] |
[
{
"from": "human",
"value": "Is 3738039 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 0.1, -38, -0.5?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 399 is divided by 78?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "What is 43458 to the power of 1/8, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Three letters picked without replacement from lthffthqv. What is prob of sequence flf?"
},
{
"from": "gpt",
"value": "1/252"
}
] |
[
{
"from": "human",
"value": "What is the value of (-8)/(-4)*7/(-14)?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is 414 minutes after 10:17 AM?"
},
{
"from": "gpt",
"value": "5:11 PM"
}
] |
[
{
"from": "human",
"value": "Let y = -3 - -2.99. Let i = 2.19 + -2.4. Let k = y - i. What is the nearest to 1/4 in 0, 1/3, k?"
},
{
"from": "gpt",
"value": "k"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 4*x + 2*h + 13 - 1, 6 = -4*x - 5*h. Is (-298)/(-8) - x/(-16) a multiple of 21?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -2*c**4 - 76*c**3 - 37*c + 3 wrt c?"
},
{
"from": "gpt",
"value": "-24*c**2 - 456*c"
}
] |
[
{
"from": "human",
"value": "Sort 5, -2, -4, 37, 2 in descending order."
},
{
"from": "gpt",
"value": "37, 5, 2, -2, -4"
}
] |
[
{
"from": "human",
"value": "Simplify (((sqrt(78) + sqrt(78)*-1 - sqrt(78)) + sqrt(78))/sqrt(6))**2 + sqrt(13) - ((sqrt(1053) + 1*sqrt(1053))**2 + sqrt(13))."
},
{
"from": "gpt",
"value": "-4212"
}
] |
[
{
"from": "human",
"value": "Let v(q) = 13 - q. Let j be v(7). What is the biggest value in -1, 5, j?"
},
{
"from": "gpt",
"value": "j"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(91) + -4*(sqrt(91) - (1*sqrt(91) - sqrt(91))))/((sqrt(84)/sqrt(2))/sqrt(6))."
},
{
"from": "gpt",
"value": "-3*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Is 1723211 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -17*a**5*j + 2*a**3*j**3 + 3*a**2 - 25*j**3 wrt a."
},
{
"from": "gpt",
"value": "-1020*a**2*j + 12*j**3"
}
] |
[
{
"from": "human",
"value": "Suppose -3*b - 2*k - 40 = -7*b, -4*k - 16 = 0. What is the remainder when 30 is divided by b?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Suppose 6*d + 5 = d. Let r be ((-93)/9)/(d/3). Suppose w + 76 = 3*w - 5*p, -w + r = p. Is 20 a factor of w?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 12:34 PM and 1:36 PM?"
},
{
"from": "gpt",
"value": "62"
}
] |
[
{
"from": "human",
"value": "Calculate -242938 + -1.9."
},
{
"from": "gpt",
"value": "-242939.9"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -2*z**2 - 3*z**2 - z**2 - 3*z**2 + 6*z."
},
{
"from": "gpt",
"value": "-9*z**2 + 6*z"
}
] |
[
{
"from": "human",
"value": "Calculate (8/7)/(12/42)."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let v = 10 - 10. Let p be (1 - 2 - -2)*v. Solve p*f + 4*f = 0 for f."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let b = 24 + -32. Does 2 divide ((-2)/(-6))/(b/(-360))?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is six fifths of a century in decades?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Which is the sixth biggest value? (a) 0.8 (b) -19 (c) 1/2 (d) 1 (e) 10 (f) -1/2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(88)/sqrt(18))**2."
},
{
"from": "gpt",
"value": "44/9"
}
] |
[
{
"from": "human",
"value": "Evaluate ((572/(-55))/13)/4."
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "What is 11/4 of a kilogram in grams?"
},
{
"from": "gpt",
"value": "2750"
}
] |
[
{
"from": "human",
"value": "In base 9, what is 87 - 7?"
},
{
"from": "gpt",
"value": "80"
}
] |
[
{
"from": "human",
"value": "Simplify (5*((sqrt(153) - -1*sqrt(153)) + 1))**2."
},
{
"from": "gpt",
"value": "300*sqrt(17) + 15325"
}
] |
[
{
"from": "human",
"value": "Solve 29*b - 12 = 26*b for b."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate 7 + 186/(-15) - -6."
},
{
"from": "gpt",
"value": "3/5"
}
] |
[
{
"from": "human",
"value": "What is 149 minutes before 11:25 PM?"
},
{
"from": "gpt",
"value": "8:56 PM"
}
] |
[
{
"from": "human",
"value": "What is 0.01 minus -14?"
},
{
"from": "gpt",
"value": "14.01"
}
] |
[
{
"from": "human",
"value": "Is -166/11 greater than -16?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "(189/216)/((-4)/96)"
},
{
"from": "gpt",
"value": "-21"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 6188 and 1456?"
},
{
"from": "gpt",
"value": "364"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 7:09 PM and 11:15 PM?"
},
{
"from": "gpt",
"value": "246"
}
] |
[
{
"from": "human",
"value": "Evaluate (2 - (-8)/(-6))*3."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let g be (2/6)/((-3)/(-42)*-2). Which is the third smallest value? (a) -2/11 (b) g (c) 3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Is 8499 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 0 (base 6) in base 10?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let x(u) = 4 - u. Let v be x(-3). Solve -4*h + 5 = 3*w - 2*w, 2*w - v = -5*h for h."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let i = -104 + 116. Solve 3*n - i = 3*b + n, 16 = -4*b - 3*n for b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 366303633 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let h(k) be the first derivative of -11*k**2 + 4*k - 1. Let j be h(-3). Suppose -3*i - 1 = -j. What is the remainder when i is divided by 8?"
},
{
"from": "gpt",
"value": "7"
}
] |
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